SLICING, THREADING AND PARAMETRIC MANIFOLDS

Authors
BOERSMA S DRAY T
Citation
S. Boersma et T. Dray, SLICING, THREADING AND PARAMETRIC MANIFOLDS, General relativity and gravitation, 27(3), 1995, pp. 319-339
Citations number
15
Categorie Soggetti
Physics
Journal title
General relativity and gravitation → ACNP
ISSN journal
00017701
Volume
27
Issue
3
Year of publication
1995
Pages
319 - 339
Database
ISI
SICI code
0001-7701(1995)27:3<319:STAPM>2.0.ZU;2-F
Abstract
We present a unified treatment of the slicing (3+1) and threading (1+3 ) decompositions of spacetime in terms of foliations. It is well-known how to decompose the metric and connection in the slicing picture; th is is at the heart of any initial-value problem in general relativity. We describe here the analogous problem in the threading picture, reco vering the recent results of Perjes on parametric manifolds.